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Finding the Fourth Proportional to 8,352.97, 11,542.31 and 7,948.09

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Solution

The fourth proportional to 8,352.97, 11,542.31 and 7,948.09 is: 10,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.97 : 11,542.31 = 7,948.09 : x
  2. Step 2: Convert to fraction form
    8,352.97/11,542.31 = 7,948.09/x
  3. Step 3: Cross multiply
    8,352.97x = 11,542.31 × 7,948.09
  4. Step 4: Simplify right side
    8,352.97x = 91,739,278.95
  5. Step 5: Solve for x
    x = 91,739,278.95/8,352.97
  6. Step 6: Final answer
    x = 10,982.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.